What is the Least Common Multiple of 25763 and 25779?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 25763 and 25779 is 664144377.
LCM(25763,25779) = 664144377
Least Common Multiple of 25763 and 25779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25763 and 25779, than apply into the LCM equation.
GCF(25763,25779) = 1
LCM(25763,25779) = ( 25763 × 25779) / 1
LCM(25763,25779) = 664144377 / 1
LCM(25763,25779) = 664144377
Least Common Multiple (LCM) of 25763 and 25779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25763 and 25779. First we will calculate the prime factors of 25763 and 25779.
Prime Factorization of 25763
Prime factors of 25763 are 25763. Prime factorization of 25763 in exponential form is:
25763 = 257631
Prime Factorization of 25779
Prime factors of 25779 are 3, 13, 661. Prime factorization of 25779 in exponential form is:
25779 = 31 × 131 × 6611
Now multiplying the highest exponent prime factors to calculate the LCM of 25763 and 25779.
LCM(25763,25779) = 257631 × 31 × 131 × 6611
LCM(25763,25779) = 664144377
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